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Finding the Fourth Proportional to 419.94, 630.18 and 227.52

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Solution

The fourth proportional to 419.94, 630.18 and 227.52 is: 341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.94 : 630.18 = 227.52 : x
  2. Step 2: Convert to fraction form
    419.94/630.18 = 227.52/x
  3. Step 3: Cross multiply
    419.94x = 630.18 × 227.52
  4. Step 4: Simplify right side
    419.94x = 143,378.55
  5. Step 5: Solve for x
    x = 143,378.55/419.94
  6. Step 6: Final answer
    x = 341.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.